The NBC series has been down in ratings following the departure of Leight's predecessor Neal Baer and lead actor Christopher Meloni at the end of season 12 last year.
Speaking to TV Guide, Leight said he is hoping that a potential 14th season of Law & Order will not merely be a way to conclude the show.
"I don't want it to be a victory lap," he explained. "I want it to be 14 years down, seven to go, as opposed to 14 years down and it's been a good run."
Defending Law & Order's ratings, he added: "From the point of view of scripted hour-longs, we're performing very strongly for NBC. Would we perform differently for a different network? Probably. Or with a different lead-in? Probably."
Leight also insisted that SVU would not resort to gimmicks in an attempt to win viewers, saying: "I don't think we'll do an all-musical episode or a Christmas episode or anything like that."
It was confirmed last month that Law & Order star Mariska Hargitay has committed to a 14th season.
Law & Order: Special Victims continues tonight (May 9) at 10/9c on NBC.